Strongly Singular Calder＇{o}n-Zygmund Operators

Yan Lin; Shanzhen Lu

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Strongly Singular Calder＇{o}n-Zygmund Operators

Yan Lin,Shanzhen Lu * #

Beijing Normal University

*Correspondence author

#Submitted by

Subject:

Funding: 国家自然科学基金,教育部博士点基金（No.10571014,20040027001）

Opened online:28 November 2007

Accepted by: none

Citation: Yan Lin,Shanzhen Lu.Strongly Singular Calder＇{o}n-Zygmund Operators[OL]. [28 November 2007] http://en.paper.edu.cn/en_releasepaper/content/16631

In this paper, the authors obtain two kinds of endpoint estimates for strongly singular Calder＇{o}n-Zygmund operators. Moreover, the pointwise estimate for sharp maximal function of commutators generated by strongly singular Calder＇{o}n-Zygmund operators and BMO functions is also established. As its applications, the boundedness of the commutators on Morrey type spaces will be obtained.

Keywords: Strongly singular Calder＇{o}n-Zygmund operator, BMO, LMO, Commutator, Morrey space

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